Search a number
-
+
4011322303144 = 23132315591075673
BaseRepresentation
bin111010010111110101011…
…100001110001010101000
3112012110220221121021222001
4322113311130032022220
51011210142002200034
612310435342140344
7562544206666222
oct72276534161250
915173827537861
104011322303144
1113072129575a2
125495078816b4
1323135c72c6b0
14dc212d4b412
156e524eb1a14
hex3a5f570e2a8

4011322303144 has 64 divisors (see below), whose sum is σ = 8457379257600. Its totient is φ = 1769747206656.

The previous prime is 4011322303111. The next prime is 4011322303147. The reversal of 4011322303144 is 4413032231104.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4011322303147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3191292 + ... + 4266964.

It is an arithmetic number, because the mean of its divisors is an integer number (132146550900).

Almost surely, 24011322303144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4011322303144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4228689628800).

4011322303144 is an abundant number, since it is smaller than the sum of its proper divisors (4446056954456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4011322303144 is a wasteful number, since it uses less digits than its factorization.

4011322303144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077274 (or 1077270 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 4011322303144 its reverse (4413032231104), we get a palindrome (8424354534248).

The spelling of 4011322303144 in words is "four trillion, eleven billion, three hundred twenty-two million, three hundred three thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 23 26 46 52 92 104 184 299 598 1196 1559 2392 3118 6236 12472 20267 35857 40534 71714 81068 143428 162136 286856 466141 932282 1075673 1864564 2151346 3729128 4302692 8605384 13983749 24740479 27967498 49480958 55934996 98961916 111869992 197923832 321626227 643252454 1286504908 1676974207 2573009816 3353948414 6707896828 13415793656 21800664691 38570406761 43601329382 77140813522 87202658764 154281627044 174405317528 308563254088 501415287893 1002830575786 2005661151572 4011322303144